Lessons & Activities: Grade 6 Print this page

Grade 6 Lessons & Activities

Number

365 Penguins by Jean-Luc Fromental is a humourous book that can be a great launch into partitioning (lesson here) or can be the context for multiplication and divsion problems.

B.C. PLO A1 and B1

Lesson

Student Sheet

 

French Lesson

French Student Sheet

Array Model - Multiplication Connected to Division

This lesson series breaks down the instructional sequence in multiplication as an array model and connecting it to division.  The lessons include the model of gradual release, real-world contexts, and concrete/pictorial/ abstract representations.  Students will be able to compare and contrast the operations of multiplication and division, use partial products/ distributive property and explain why the steps in the division algorithm work!

Lessons - Array Model- Multiplication Connected to Division

Array Cards

 

Buying Car - have your students deepen their understanding of percents by working through the purchase of a car on this website.

B.C. PLO A6 and B1

Thanks Erika for forwarding me this!

If you work through this with your students, please let me know how it went.  Christine

Link to Buying a Car Workshop

Chain Links

A thought provoking game that reinforces MULTIPLES, FACTORS, COMPOSITE NUMBERS, PRIME NUMBERS, DOUBLES AND HALVES.

B.C. PLO A3

See full size imageDiversity tip: Clear learning intentions and co-constructed criteria coupled helps to address diversity with this 'tested' lesson.  Students enjoyed the game which after playing once, then developing criteria helped to solidify the concepts.

Lesson

Student Sheet

 

French Lesson

Student Sheet in French

Decimals

It is often difficult for students to redefine the value of a Diene's block when working with decimal concepts.  Jaki helped her class develop their understanding by having her students imagine magnifying the 'ones' block to work on building decimal numbers. Thanks Al for translating.

"I have...Who Has" - a class game to practice saying, hearing and reading decimal numbers.  After practicing as a whole class, Jaki has two of these games operating at once and 1/2 the class competes with the other 1/2 to see who can finish first.  This takes careful listening and careful reading of the numbers.

B.C. PLO A1

Place Value Mat for decimal numbers.

 "I have who has ..." decimals

French

Place Value Mat for decimal numbers

 

Division Lesson  - The Garbage Barge is a new book in our district that provides insight into a 'real' garbage problem.  We used the context of this book by Jonah Winter to create the student division activities. Please see Division Lessons One to Three in the grade 5 section of this site for lead up activities.

Thanks Jan and Lynn for working with this activity.

B.C. PLO A8

Student sheet

Student sheet - division challenge

French student sheet

 

Fractions

Fraction concept development is very important.  We need to make sure that fractions are presented as parts of a whole (with the whole in MANY different shapes - not just pizza) as well as parts of a set.  In grade four, fractions also need to be understood on a numberline. In grade five, we need to make sure work with equivalent fractions is at a concrete and pictorial level. In grade six, fractions extend into mixed numbers and improper fractions.

I have included a template for fraction strips.  The printshop can print them in colour for you.  Have your children create their own fraction strips, which they fold, cut and label.  By the time they have labeled 16 1/16's they really get that 1/16 is small!  More activities can be found in SD71's professional library books, Lessons for Introducing Fractions and Lessons for Extending Fractions by Marilyn Burns.

B.C. PLO A4

Fraction Strips

Fraction Concepts

Manipulatives need to be a very important part of developing understanding of fractions.  Some great tools in all of our schools include cuisinaire rods, tangrams and fraction circles.

Warlord's Puzzle activity can be extended by assigning a dollar value to one of the shapes, such as the large triangle is worth $1.25 and have student determine the value of the completed puzzle.

Kids and Cookies is an interesting interactive 'Flash' site that helps to visualize 'sharing' of cookies.

B.C. PLO A4

Pictorial:  Lion's Share Problem

Concrete:  Warlord's Puzzle

Warlord's Puzzle answers

Concrete: Cuisinaire rods

French

Warlord's Puzzle

Fraction Story Boards and Comic Strips

With clear learning intentions and co-constructed criteria, students in Airport's grade 6/7 explore fractions which cumulated with a Comic Strip project to show their understanding. The template with criteria is provided so that you can get a sense of the criteria Catherine's students came up with.  The power of the lesson is in creating the criteria with the students (not for them).

Thanks Catherine for Sharing this one with us.

B.C. PLO A4

See full size imageDiversity tip: Clear learning intentions and co-constructed criteria coupled with an open-ended task helps to address diversity with this 'tested' lesson.  Students enjoyed the comic project so much that they requested more projects of this type for their next math unit.

 

Lesson

Fraction Story Board Template

Template with Criteria

Sample A

Sample B

Comic Template

Sample A

Sample B

Sample C

 

 

"I have...Who Has" - a class game to practice saying, hearing and reading numbers to the billions.

B.C. PLO A1

Thanks Tammy for sharing this with us and to Martin for translating.

Game Cards and Instructions.

Game Cards and Instructions in French.

 

Number Relationship Mat

This activity is excellent laminated and then used for warm up and review for number concepts.

B.C. PLOs A1, A3, and A9

Thanks Lisa for adapting this mat for intermediate grades and Patrisha and Cheryl for translating it.

See full size imageDiversity tip: Students or the teacher selects the starting number for this activity which allows students to work with numbers that are appropriate for their level of mathematics. 

Number Relationship Mat

 

Number Relations ship Mat - French Version

 

 How Many jelly Beans? by Andrea Menotti - Representing Larger Numbers

Representing numbers greater than 1 000 000 can be introduced with this book, that gets us to 1 000 000.  These thinking mats allow students to display a variety of ways to represent the number of their jelly beans - pick just-right numbers!  This book has many applications and would be great for multiples, estimating, additive / multiplicative thinking and many discussions!

BC A1, A2, A3

 Thinking flexibly with number representations- 3 pages; English, student sample, French

Additive and Multiplicative Thinking mat - 3 pages; English, student sample, French

    

Place Value Game - Get To 1000!

Have students take turns rolling a die (you pick the type - 6 sided or 10 sided), select x1, x10 or x100.  The first player whose sum of the product equals 1000 is the winner.

B.C. PLO: A1

 Get to 1000!

 

Place Value - 'What does a trillion look like?'

This google sketchup project helps to visualize the magnitude of large numbers.  Your students will be amazed at what one trillion dollars made up of $100 bill looks like.

B.C. PLO: A1

Thanks Cheryl for translating this!

 What does a trillion look like?

French Version

 

The Rabbit Problem by Emily Gravett presents Fibonacci's Sequence in a visually appealing way.

B.C. PLO A1 and B1

Lesson

Student Sheet Partioning

 

 

Problem sheet

 

4 by 4 grid

5 by 5 grid

6 by 6 grid

French

Problem Sheet

Patterns and Relations

Buying Car - have your students deepen their understanding of percents and the relationships within tables of values by working through the purchase of a car on this website.

B.C. PLO A6 and B1

Thanks Erika for forwarding me this!

If you work through this with your students, please let me know how it went.  Christine

Link to Buying a Car Workshop

Equal Shmequal - Explore equality with the concepts covered in this book by Virginia Kroll.  The Tilt or Balance Sheets are from J. VandeWalle's, Teaching Student Centered Mathematics.

B.C. PLOs B3 and B4

Lesson

Student Journal

Student Sheet

Tilt or Balance Sheets

The Rabbit Problem by Emily Gravett presents Fibonacci's Sequence in a visually appealing way.

B.C. PLO A1 and B1

Lesson

Student Sheet Partioning

 

 

Problem sheet

 

4 by 4 grid

5 by 5 grid

6 by 6 grid

French

Problem Sheet

Uno's Garden by Graeme Base is an intriguing book with an opportunity to explore algebraic reasoning.

Thanks to SD68 for supplying us with this lesson.

Lesson

Grid Paper

People

Plant - Green

Summary Chart

Summary Answer Key

Equations, Balance and Variables  This lesson shows how students can represent and solve for unknown numbers by using the idea of balance (same as / equality), concrete shapes and then algebra tiles to build their understanding about algebra. Students can demonstrate the preservation of equality concretely, pictorially and symbolically. 

 Equations, Equality, Variables, Algebra Tiles lessons

Shape and Space

Angles

A nice tutorial that clarifies angle vocabulary ....  thanks Wendy for spotting this one.

B.C. PLO C1

 

tutorial  

Angles - Interior angles of a triangle

A free geometry software program, GeoGebra, is useful for working with angles.  Specifically the applet created with the program allows students to see that the interior sum of triangles equals 180 degrees.

Thanks Karen for bringing this to our attention.

B.C. PLO C2

 Free program

Angle applet

 

Dance Squared - An interesting and simple Youtube video that demonstrates how the parts of a square can be transformed into other shapes.

PLO C6 and C7

Thanks Jan for forwarding me this!

Dance Squared

Notes on a Triangle - This 1960's NFB clip is a mesmerizing look at translations and triangles.

PLO C6 and C7

Thanks again Jan for this one!

Notes on a Triangle

Puzzle - Math Strands

I use this puzzle either to introduce students to problem solving, math communication or as an introduction to area or even geometry unit.  Each child is given a piece (excluding the problem solving square).  The task is to form a group with students who have 'different' pieces. Using the 4 pieces, they are to build a square.  An important rule is that they may not touch or move anyone elses square. 

After the first 4 piece square is built - I give them the 5th piece - problems solving to add to their collection and make a new square.  This is quite challenging and requires them to look at the problem in a different way!  Encourages clear communication skills and specific math language.

Puzzle sheet  

Shape Shifter - Enjoy exploring transformations using pentominoes (available in most of your schools) and this game, Shape Shifter.  Game Instructions and Board are from the Ontario site, TEACH MATH.

PLO C6 and C7

Game Instructions

Game Board

 

Statistics and Probability

 

Line Graphs

Sample Line Graphs, on cell phone ownership by age were presented to the class.  They used these to develop understanding and then criteria for a line bar graph.  Students in the the grade 5/6 class I worked with, already had experience with double bar graphs (see grade 5 activities - The Hockey Sweater) so found it straight forward to adjust the criteria for a line graph. 

The familiar book, Martha Blah Blah by Susan Meddaugh was then shared with the class.  Using the idea that they would be 'dropping' a letter per day, students enjoyed creating a line graph that reflected the number of letters in a statement they had written about themselves.  This lesson had the students quite excited about their learning and many extensions were apparent once they bagan working on the task.

Thanks to the grade 5/6 Ecole Puntledge students and teachers in French Immersion for working on this one with me.

B.C. PLO D1

See full size imageDiversity tip: Clear learning intentions and co-constructed criteria coupled with an open-ended task helps to address diversity with this 'tested' lesson.  Students enjoyed the comic project so much that they requested more projects of this type for their next math unit.

 

Line Graph Exemplars

Co-constructed criteria - blank

Co-constructed criteria - sample completed with the class

 

Knees Up Line Graphing - Building on Martha Blah Blah, and this year working with grade 6 and 7 students, we developed criteria for a graph and then applied this criteria to line graphs we created by counting the number of times students could get their knees up every 30 seconds over a three minute time period.  Children were interested to collect and graph their own data and the ups and downs of the resulting graphs gave lots to summarize.

B.C. PLO D1and D3

See full size imageDiversity tip: Clear learning intentions and co-constructed criteria coupled with an open-ended task helps to address diversity with this 'tested' lesson.  Students enjoyed were motivated to collect data about themselves and used the criteria which they helped to create as a check list for their work.  C. VanderRee 

Lesson

Sample Graphs

Graphs with notes

Blank Criteria

Sample completed criteria